摘要
通过闭包与内部算子研究模糊粗糙集的拓扑结构,证明了自反、传递关系下的近似空间中模糊集的上、下近似算子分别为一个模糊拓扑的闭包、内部算子,且相应的模糊拓扑满足(TC)条件;反之,满足(TC)条件的模糊拓扑的闭包与内部算子也恰为一自反、传递关系下的近似空间中的上、下近似算子.
Based on closure and interior operators this paper discusses the topological structure of fuzzy rough sets. In a approximation space which is based on a reflexive and transitive relation, it is proved that the upper and lower approximations of fuzzy sets are closure and interior operators of a fuzzy topology respectively and the fuzzy topology satisfy （TC） condition; Conversely, the closure and interior operators of a fuzzy topology which satisfy （TC） condition are exactly the upper and lower approximations of a approximation space restrictively.
出处
《系统工程学报》
CSCD
北大核心
2006年第1期81-85,共5页
Journal of Systems Engineering
基金
国家自然科学基金资助项目(60474022)
